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Finding the Fourth Proportional to 3,287.68, 4,931.52 and 1,340.80

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Solution

The fourth proportional to 3,287.68, 4,931.52 and 1,340.80 is: 2,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.68 : 4,931.52 = 1,340.80 : x
  2. Step 2: Convert to fraction form
    3,287.68/4,931.52 = 1,340.80/x
  3. Step 3: Cross multiply
    3,287.68x = 4,931.52 × 1,340.80
  4. Step 4: Simplify right side
    3,287.68x = 6,612,182.02
  5. Step 5: Solve for x
    x = 6,612,182.02/3,287.68
  6. Step 6: Final answer
    x = 2,011.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.